Understanding Place Value and Expanded Notation

The video tutorial covers the concept of place value for fourth graders, focusing on expanded form and expanded notation. It explains how to represent numbers using these methods, highlighting the differences between them. The tutorial also delves into expanded notation with decimals, providing techniques for multiplying decimals and demonstrating various ways to express decimal place values.

What is the standard form of the number 40,270?

• 40,000 + 200 + 70 + 1

• 40,270

• 4 x 10,000 + 2 x 100 + 7 x 10 + 0 + 1

• 4 x 10,000 + 2 x 100 + 7 x 10 + 1

In expanded form, what is the value of the digit 4 in the number 40,270?

• 400

• 40,000

• 4

• 40

Which of the following is NOT a component of expanded form?

• Skipping zeros

• Starting with the largest place value

• Adding the values of each digit

• Multiplying each digit by its place value

How is expanded notation different from expanded form?

• It includes zeros

• It multiplies each digit by its place value

• It starts with the smallest place value

• It does not use addition

In expanded notation, how would you represent the digit 2 in the number 40,270?

• 2 x 10

• 2 x 100

• 2 x 1,000

• 2 x 10,000

What is the expanded notation for the number 70 in 40,270?

• 7 x 100

• 7 x 1,000

• 7 x 10

• 7 x 1

How would you write the number 4.87 in expanded form?

• 4 + 8 + 7

• 4 + 0.8 + 0.07

• 4 x 1 + 8 x 0.1 + 7 x 0.01

• 4 x 1 + 8 x 10 + 7 x 100

In expanded notation, how can you represent the digit 8 in the number 4.87?

• 8 x 1

• 8 x 0.1

• 8 x 0.01

• 8 x 10

Which of the following is a correct way to write 0.1 in expanded notation?

• 1 x 0.01

• 1 x 0.0001

• 1 x 0.1

• 1 x 0.001

What is the purpose of using parentheses in expanded notation?

• To separate each digit

• To indicate multiplication

• To ensure clarity and separation of each section

• To follow the order of operations